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Modified gravity, known as $f(R)$ gravity, has presently been applied to Cosmology as a realistic alternative to dark energy. For this kind of gravity the expansion of the Universe may accelerate while containing only baryonic and cold dark…

宇宙学与河外天体物理 · 物理学 2012-05-01 N. Pires , J. Santos , J. S. Alcaniz

Recently, it was shown that modified mimetic gravity, with a $f(\square\phi)$ term, results in a singularity-free model of gravity, for both cosmological and black hole spacetimes [1, 2]. In this work, we analyze this model further and show…

广义相对论与量子宇宙学 · 物理学 2018-06-01 Suddhasattwa Brahma , Alexey Golovnev , Dong-han Yeom

In this article we study a generalization of DGP scenarios, where the induced gravity is given by a $f(R)$ term. We obtain the effective gravitational equations and the effective FLRW cosmological equation on the brane of this model. We…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Joel Saavedra , Yerko Vásquez

The Einstein-Hilbert Lagrangian for gravity is non-renormalizable at loop level. However, it can be treated in the effective field theory framework which means that gravity as an effective theory can be renormalized when a proper expansion…

高能物理 - 理论 · 物理学 2018-08-23 Safi Rafie-Zinedine

We study the cosmology of the Randall-Sundrum brane-world where the Einstein-Hilbert action is modified by curvature correction terms: a four-dimensional scalar curvature from induced gravity on the brane, and a five-dimensional…

高能物理 - 理论 · 物理学 2009-11-10 G. Kofinas , R. Maartens , E. Papantonopoulos

f(R) gravity theories in the Palatini formalism has been recently used as an alternative way to explain the observed late-time cosmic acceleration with no need of invoking either dark energy or extra spatial dimension. However, its…

广义相对论与量子宇宙学 · 物理学 2012-12-07 Janilo Santos , Crislane de Souza Santos

We expand the study of generalized brane cosmologies by allowing for an $f(\tilde{\cal R})$ gravity term on the brane, with $\tilde{\cal R}$ the curvature scalar derived from the induced metric. We also include arbitrary matter components…

高能物理 - 理论 · 物理学 2010-10-22 Pantelis S. Apostolopoulos , Nikolaos Brouzakis , Nikolaos Tetradis

We study reparametrization-invariant systems, mainly the relativistic particle and its D-dimensional extended object generalization--d-brane. The corresponding matter Lagrangians naturally contain background interactions, like…

数学物理 · 物理学 2007-05-23 Vesselin G. Gueorguiev

We study the nonlinear gravitational dynamics of a universe filled with a pressureless fluid and a cosmological constant $\Lambda$ in the context of Newtonian gravity, and in the relativistic post-Friedmann approach proposed in paper I [I.…

广义相对论与量子宇宙学 · 物理学 2016-10-26 Cornelius Rampf , Eleonora Villa , Daniele Bertacca , Marco Bruni

We study cosmologies in modified theories of gravity considering Lagrangian density $f(R)$ which is a polynomial function of scalar curvature ($R$) in the Einstein-Hilbert action in vacuum. The field equation obtained from the modified…

宇宙学与河外天体物理 · 物理学 2009-10-29 B. C. Paul , P. S. Debnath , S. Ghose

Cosmography can be considered as a sort of a model-independent approach to tackle the dark energy/modified gravity problem. In this review, the success and the shortcomings of the $\Lambda$CDM model, based on General Relativity and standard…

广义相对论与量子宇宙学 · 物理学 2019-04-09 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

In this work, we further study a metric modified theory of gravity which contains a non-minimal coupling to matter, more precisely, we assume two functions of the scalar curvature, $f_1$ and $f_2$, where the first one generalises the…

广义相对论与量子宇宙学 · 物理学 2021-03-31 María Ortiz-Baños , Mariam Bouhmadi-López , Ruth Lazkoz , Vincenzo Salzano

Gravity in five-dimensional braneworld backgrounds may exhibit extra scalar degrees of freedom with problematic features, including kinetic ghosts and strong coupling behavior. Analysis of such effects is hampered by the standard heuristic…

高能物理 - 唯象学 · 物理学 2008-11-26 Marcela Carena , Joseph Lykken , Minjoon Park

In this letter, we consider the theory of $F(R)$ gravity with the lagrangian density $ \pounds = R+\alpha R^2 + \beta R^2 \ln \beta R $. We obtain the constant curvature solutions and find the scalar potential of the gravitational field. We…

广义相对论与量子宇宙学 · 物理学 2016-06-09 J. Sadeghi , H. Farahani

We derive the equation of matter density perturbations on sub-horizon scales around a flat Friedmann-Lema\^\i tre-Robertson-Walker background for the general Lagrangian density $f(R,\GB)$ that is a function of a Ricci scalar $R$ and a…

宇宙学与河外天体物理 · 物理学 2011-05-13 Antonio De Felice , Teruaki Suyama

We consider f(R,T) modified theory of gravity, in which the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and the trace of the energy-momentum tensor of the matter, in order to investigate the dark-matter…

广义相对论与量子宇宙学 · 物理学 2016-11-02 Raziyeh Zaregonbadi , Mehrdad Farhoudi , Nematollah Riazi

The collision-free Boltzmann equation is used in the context of brane-$f(R)$ gravity to derive the virial theorem. It is shown that the virial mass is proportional to certain geometrical terms appearing in the Einstein field equations and…

广义相对论与量子宇宙学 · 物理学 2015-06-04 A. S. Sefiedgar , Z. Haghani , H. R. Sepangi

The present article investigates the possibility of reconstruction of the generic function in $F(\mathcal{R},T)$ gravitational theory by considering some well-known cosmological bouncing models namely exponential evaluation, oscillatory,…

广义相对论与量子宇宙学 · 物理学 2022-10-26 M. Zubair , Quratulien Muneer , Saira Waheed

We develop a Lagrangian formulation for gravity with matter where the gravitational couplings are universally treated as being field-dependent. The solutions for FLRW geometries and the associated time evolution of the Newton and…

广义相对论与量子宇宙学 · 物理学 2025-10-15 Sandipan Sengupta

Recently a class of alternative theories of gravity which goes under the name f(R) gravity, has received considerable attention, mainly due to its interesting applications in cosmology. However, the phenomenology of such theories is not…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thomas P. Sotiriou , Stefano Liberati